Traffic Flow Modelling by Femke Kessels

Author:Femke Kessels
Language: eng
Format: epub
ISBN: 9783319786957
Publisher: Springer International Publishing

We note that the presented formulation of Fastlane includes an implicit density function (4.19): to calculate the density, the pce values need to be known, for which the densities are needed (4.20). An alternative formulation of Fastlane that is more practical to apply and more theoretically sound (because it does not have this implicit self-reference)—albeit much more complicated at first sight—is presented by van Wageningen-Kessels et al. (2014).

4.2.3 Models with Three Regimes

A different approach to modelling the behaviour of classes that share a (multi-lane) road is by assuming that the flow is always in a ‘lane distribution equilibrium’. In this equilibrium, the vehicles distribute themselves over the lanes in such a way that any other distribution would lead to lower speeds for at least one of the classes. Furthermore, all vehicles drive as fast as possible, on the fraction of the road that is available to them. The most simple of this type of models is the two-class and two-lane model by Daganzo (2002). The terminology of ‘slugs’ (slow cars) and ‘rabbits’ (fast cars) is used. Slugs always stay on the outer lane. Rabbits can use both lanes and chose among them based on a user equilibrium. This gives rise to 3 possible ‘regimes’, see also Fig. 4.10c: free flow

If there are few cars, fast cars will remain on the inner lane and drive at their maximum speed.

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